For each element of \(A\)  there is a splitter \(P_a\)  with center \(c_a\) 
and \(a+1\)  satellites at distance two from the center, i.e., each
satellite has a connector on the path to \(c_a\) . In
[1]}, the satellites are at distance one from the
center. We connect one satellite of each splitter with the
transmitter center \(c_T\)  and the remaining satellites with the
collector center \(c_C\) .
Hence, there is a path of length six from \(c_T\)  via each \(c_a\)  to
\(c_C\) .
